CAUCHY'S ERROR REPRESENTATION OF HERMITE INTERPOLATING POLYNOMIAL AND RELATED RESULTS

被引：0
|
作者：
Aras-Gazic, Gorana [1 ]
Pecaric, Josip [2 ]
Vukelic, Ana [3 ]
机构：
[1] Univ Zagreb, Fac Architecture, Andrije Kacica Miosica 26, Zagreb 10000, Croatia
[2] Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipovica 28a, Zagreb 10000, Croatia
[3] Univ Zagreb, Fac Food Technol & Biotechnol, Pierottijeva 6, Zagreb 10000, Croatia
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2016年 / 19卷 / 04期
关键词：
n-convex function; Hermite interpolating polynomial; Hermite-Hadamard inequality; orthogonal polynomials; INEQUALITY;
D O I：
10.7153/mia-19-99
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider convex functions of higher order. Using the Cauchy's error representation of Hermite interpolating polynomial the results concerning to the Hermite-Hadamard inequalities are presented. As a special case, generalizations for the zeros of orthogonal polynomials are considered.
引用
收藏
页码：1349 / 1362
页数：14
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